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In this paper, we study the distortion bounds for voting mechanisms in multi-winner elections in general metric spaces. Our study pertains to the case in which each voter only reports her favorite candidate amongst $m$ possible choices.…

Computer Science and Game Theory · Computer Science 2025-05-29 Gennaro Auricchio , Zeyu Ren , Zihe Wang , Jie Zhang

Although manipulation and bribery have been extensively studied under weighted voting, there has been almost no work done on election control under weighted voting. This is unfortunate, since weighted voting appears in many important…

Computer Science and Game Theory · Computer Science 2013-05-07 Piotr Faliszewski , Edith Hemaspaandra , Lane A. Hemaspaandra

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

Computer Science and Game Theory · Computer Science 2024-11-05 Dominik Peters

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

Computer Science and Game Theory · Computer Science 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

In computational social choice, the distortion of a voting rule quantifies the degree to which the rule overcomes limited preference information to select a socially desirable outcome. This concept has been investigated extensively, but…

Computer Science and Game Theory · Computer Science 2023-12-11 Yannai A. Gonczarowski , Gregory Kehne , Ariel D. Procaccia , Ben Schiffer , Shirley Zhang

We provide elementary proofs of several results concerning the possible outcomes arising from a fixed profile within the class of positional voting systems. Our arguments enable a simple and explicit construction of paradoxical profiles,…

Combinatorics · Mathematics 2020-08-17 Jacqueline Anderson , Brian Camara , John Pike

Risk-limiting post election audits guarantee a high probability of correcting incorrect election results, independent of why the result was incorrect. Ballot-polling audits select ballots at random and interpret those ballots as evidence…

Data Structures and Algorithms · Computer Science 2019-10-30 Michelle Blom , Peter J. Stuckey , Vanessa Teague

The challenge of understanding the collective behaviors of social systems can benefit from methods and concepts from physics [1-6], not because humans are similar to electrons, but because certain large-scale behaviors can be understood…

Physics and Society · Physics 2020-08-20 Alexander Siegenfeld , Yaneer Bar-Yam

We study a model of temporal voting where there is a fixed time horizon, and at each round the voters report their preferences over the available candidates and a single candidate is selected. Prior work has adapted popular notions of…

Computer Science and Game Theory · Computer Science 2025-02-11 Edith Elkind , Svetlana Obraztsova , Jannik Peters , Nicholas Teh

Do robots vote? Do machines make decisions instead of us? No, (at least not yet), but this is something that could happen. The impact of Artificial Intelligence (AI) on democracy is a complex issue that requires thorough research and…

Computers and Society · Computer Science 2025-04-03 Fereniki Panagopoulou

Bribery in election (or computational social choice in general) is an important problem that has received a considerable amount of attention. In the classic bribery problem, the briber (or attacker) bribes some voters in attempting to make…

Data Structures and Algorithms · Computer Science 2018-11-12 Lin Chen , Lei Xu , Shouhuai Xu , Zhimin Gao , Weidong Shi

Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the…

Computer Science and Game Theory · Computer Science 2018-06-05 Haris Aziz , Barton Lee

In an election, we are given a set of voters, each having a preference list over a set of candidates, that are distributed on a social network. We consider a scenario where voters may change their preference lists as a consequence of the…

Social and Information Networks · Computer Science 2020-06-01 Mohammad Abouei Mehrizi , Gianlorenzo D'Angelo

Instant-runoff voting (IRV) is used in several countries around the world. It requires voters to rank candidates in order of preference, and uses a counting algorithm that is more complex than systems such as first-past-the-post or scoring…

Many real life situations require a set of items to be repeatedly placed in a random sequence. In such circumstances, it is often desirable to test whether such randomization indeed obtains, yet this problem has received very limited…

Applications · Statistics 2023-04-14 Darren Grant

With historic misses in the 2016 and 2020 US Presidential elections, interest in measuring polling errors has increased. The most common method for measuring directional errors and non-sampling excess variability during a postmortem for an…

Applications · Statistics 2023-02-21 Graham Tierney , Alexander Volfovsky

Election control considers the problem of an adversary who attempts to tamper with a voting process, in order to either ensure that their favored candidate wins (constructive control) or another candidate loses (destructive control). As…

Multiagent Systems · Computer Science 2017-11-27 Bryan Wilder , Yevgeniy Vorobeychik

We propose a new single-winner voting system using ranked ballots: Stable Voting. The motivating principle of Stable Voting is that if a candidate A would win without another candidate B in the election, and A beats B in a head-to-head…

Theoretical Economics · Economics 2023-02-14 Wesley H. Holliday , Eric Pacuit

Do runoff elections, using the same voting rule as the initial election but just on the winning candidates, increase or decrease the complexity of manipulation? Does allowing revoting in the runoff increase or decrease the complexity…

Computer Science and Game Theory · Computer Science 2014-06-23 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

One way of evaluating social choice (voting) rules is through a utilitarian distortion framework. In this model, we assume that agents submit full rankings over the alternatives, and these rankings are generated from underlying, but…

Computer Science and Game Theory · Computer Science 2018-10-03 Ashish Goel , Reyna Hulett , Anilesh K. Krishnaswamy